WebbSpherical Trigonometry. Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, … Webb4 maj 2024 · Explanation: sin67.5∘ The half angle formula for sin(θ 2) = ± √ 1 −cosθ 2. The ± sign depends on which quadrant your angle is in. Since 67.5∘ is in the 1st quadrant and sine is positive in that quadrant, we know that it is positive. 67.5∘ ⋅ 2 = 135∘, so: sin(θ 2) = √ 1 −cos135∘ 2 = ⎷ 1 − ( − √2 2) 2 = √ 2 2 + √2 2 2 = √ 2+√2 2 2 = √ 2 + √2 4
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WebbQuestion: simplify 2sin(22.5)cos(22.5) I know the answer is sqrt(2) ... Thanks so much! simplify 2sin(22.5)cos(22.5) I know the answer is sqrt(2)/2 and I know you multiply 22.5 … WebbFirst we apply the sum formula, cos (a+b) = cos (a) * cos (b) - sin (a) * sin (b): cos (2*phi) = cos (phi + phi) = cos (phi) * cos (phi) - sin (phi) * sin (phi) 2. Now you can see that you are multiplying cos (phi) by itself and sin (phi) by itself. So, cos (phi) * cos (phi) - sin (phi) * sin (phi) = cos^2 (phi) - sin^2 (phi) iobit software updater computer bild
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Webb4 juni 2024 · Vad det gäller subtraktionsformeln, den säger följande: sin a-b = sin (a) cos (b)-cos (a) sin (b). Om vi väljer värden på a och b så att a-b a-b blir 22,5, kan vi beräkna … WebbThe double-angle formulas can be used to derive the reduction formulas, which are formulas we can use to reduce the power of a given expression involving even powers of … WebbQuestion: 1 5 points Simplify the following: (-2+31) (2-31) Answer: type your answer. 2 10 points Multiply the complex numbers: 21 = 3 (cos 30° + i sin 30) and 22 = -5 (cos 60° + i sin 60°). onshape tolerances